Answer :

Given equation is 9x2 – 3kx + k = 0

Comparing with standard quadratic equation ax2 + bx + c = 0


a = 9 b = – 3k c = k


Given that the roots of equation are real and equal


Thus D = 0


Discriminant D = b2 – 4ac = 0


(– 3k)2 – 4.9.k = 0


9 k2 – 36k = 0


9k(k – 4) = 0


9k = 0 or(k – 4) = 0


k = 0 or k = 4


But given k is non zero hence k = 4 for which roots of the quadratic equation are real and equal.


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